I've completed some hand layup of fiberglass panels and have noted that I can see the pattern of the weave of the cloth under the paint in some places . It seems like no knows why this happens. Some say it is CTE mismatch between resins and the glass (I think this is likely). Others say is is chemical shrinkage due to the exposure of the chemicals in the paint (I think this is a contributer). Most folks apply thick coats of gelcoat to submerge the fabric from the fabric. In my case it is too late for that.

My question: Will additional coats of paint eliminate this? I currently have a base coat clear coat paint on it. I'm considering wet sanding the paint after a year and reshooting the clear.

Has anyone ever successfully eliminated or reduced this on your planes?

I'm not a professional painter, but I have know what you mean regarding the fabric print through. There are a few reasones why this might happen, but the only way I've seen it handled is primed with a high build polyester base primer. Build up the primer, sand then paint. Just a suggestion.
Josh

Print is caused by the cloth with the weave pattern to close to the surface , thin gel coat , under cured gel coat, insufficient thickness of chopped strand behind the gel coat also under cured resin that has a to higher shrinkage rate . to higher catalyst rate !!
remember not all resins and catalysts behave the same , used what recommended by the manufacture and if further problems persist change resins and use a finer cloth material behind the gel coat !_________________COMPOSITES ARE MY LIFE , MY WORK , MY HOBBY , MY INTEREST AND I HAVE BEEN DOING IT FOR MORE THAT 35 YEARS !!